The Dirichlet Process Mixture (DPM) Model
نویسنده
چکیده
The Dirichlet distribution forms our first step toward understanding the DPM model. The Dirichlet distribution is a multi-parameter generalization of the Beta distribution and defines a distribution over distributions, i.e. the result of sampling a Dirichlet is a distribution on some discrete probability space. Let Θ = {θ1,θ2, . . . ,θn} be a probability distribution on the discrete space = { 1, 2, . . . , n} s.t. P(X = i) = θi where X is a random variable in the space . The Dirichlet distribution on Θ is given by the formula
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